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Simplifying -6(v + -7) = -9v + 27 Reorder the terms: -6(-7 + v) = -9v + 27 (-7 * -6 + v * -6) = -9v + 27 (42 + -6v) = -9v + 27 Reorder the terms: 42 + -6v = 27 + -9v Solving 42 + -6v = 27 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 42 + -6v + 9v = 27 + -9v + 9v Combine like terms: -6v + 9v = 3v 42 + 3v = 27 + -9v + 9v Combine like terms: -9v + 9v = 0 42 + 3v = 27 + 0 42 + 3v = 27 Add '-42' to each side of the equation. 42 + -42 + 3v = 27 + -42 Combine like terms: 42 + -42 = 0 0 + 3v = 27 + -42 3v = 27 + -42 Combine like terms: 27 + -42 = -15 3v = -15 Divide each side by '3'. v = -5 Simplifying v = -5
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